tb_equivalent_level — 2D typed op

数据种类:signalfeature

调用:fullseye.apply(img, "tb_equivalent_level", a=0.5, b=0.5)(2-D 的模型是一张图 + 两个标量旋钮 a,b∈[0,1])

用法

记录的能量等效级,单位为相对于 `ref` 的 dB。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

`L_eq = 10 log10(mean(x_w**2) / ref**2) where x_w` is the signal after

the chosen weighting. Returns a plain float.

The reference is yours to supply. The default `ref=1.0` means dB

relative to one unit of the signal's own units; it is not dB SPL, because

this library never sees your calibration. Pass `ref=20e-6` for pascals.

Measured: a 1 kHz sine of amplitude 1.0 at 16 kHz over exactly 1000 periods

gives `L_eq = -3.010300` dB with Z weighting, against the closed form

`10*log10(1/2) = -3.010300` (difference 2.2e-15 dB), and the same value

under A weighting (difference 8.9e-16 dB), because A is 0 dB at 1 kHz.

Doubling the amplitude adds 6.020600 dB. Silence returns -200.0.

Silence returns `floor_db (default -200) rather than -inf; an -inf`

in a list of levels destroys every average taken over it afterwards.

**A weighted level is only as good as the weighting, and the weighting has a

leakage limit this operator inherits in full.** A pure tone that is not a

whole number of periods in the record comes back too loud — measured

+7.7986 dB at 31.5 Hz (a nominal one-third-octave centre) over 0.5 s at

48 kHz, and up to +17.2116 dB at 20.5 Hz — with no exception, no NaN and

no warning. `weighting="Z" is exempt (it does no filtering) and "C"` is

nearly so (+0.0493 dB on the same tone); it is `"A"`, whose curve spans

about 40 dB across the audio band, that is exposed.

`window="hann"` is the opt-in remedy: the record is multiplied by a Hann

window and the mean square divided by the window's own mean square, which

suppresses the leakage almost entirely — the 31.5 Hz error goes from

+7.7986 to +0.0534 dB and the 20.5 Hz error from +17.2116 to

+0.1841 — while costing about 0.15 dB on records that were exact

before. It is not the default, and must not be used when a transient's

level is the point: a window makes the answer depend on *where in the

record the sound happened*. Measured on a 50 ms burst inside a 0.5 s record

(Z weighting, so only the window acts; unwindowed all three are -13.0103 dB

as they must be): at the start -36.0587, at the centre -8.8218, at

the end -36.0587 — a 27 dB spread produced by nothing but position.

Use `"hann"` for a stationary tonal record, which is exactly the case the

leakage ruins, and `"none"` (the default, an honest energy average) for

everything else. The full measurement is in :func:apply_weighting.

Raises `ValueError: everything :func:_as_signal` refuses, an unknown

`weighting or window, ref <= 0` (a decibel needs a positive reference; a zero

reference makes every level `+inf` and a negative one makes the ratio

negative), `rate <= 0`.

Typed bridge of the acoustics op `equivalent_level into the 2-D evolution registry: the same implementation, called under the op(v, a, b) convention. a drives ref (default 1); b` is unused.

参考(示例数据・文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

可运行的示例(实际调用该算子并已验证的样例)

• (暂无)

类型可衔接的下一个算子(可接受 feature 作为输入)

identity

同类别(typed)

tb_points_to_voxel · tb_estimate_point_normals · tb_iss_keypoints · tb_angle_3points · tb_project_points · tb_render_point_depth · tb_statistical_outlier_removal · tb_radius_outlier_removal


*Provenance: ops.py — 2D 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.